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Finding the Fourth Proportional to 13,452.40, 20,165.80 and 10,489.20

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Solution

The fourth proportional to 13,452.40, 20,165.80 and 10,489.20 is: 15,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452.40 : 20,165.80 = 10,489.20 : x
  2. Step 2: Convert to fraction form
    13,452.40/20,165.80 = 10,489.20/x
  3. Step 3: Cross multiply
    13,452.40x = 20,165.80 × 10,489.20
  4. Step 4: Simplify right side
    13,452.40x = 211,523,109.36
  5. Step 5: Solve for x
    x = 211,523,109.36/13,452.40
  6. Step 6: Final answer
    x = 15,723.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.